Lecture Notes

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==== Cameron Shotwell ====

Hi! I am a second year student intending to major in Math and Physics. I have taken Math 53, Math 55, and Physics 89 (like Math 54), but this is the first semester in which I am taking an upper division math class. I am currently taking Physics 5C, Physics 5CL, Math 104, Math 110, and Math 113.

==== Homework ====

My Homework 1 can be found {{ :math104-s22:s:cameronshotwell:math_104_homework_1 (1).pdf | here}}.

My Homework 2 can be found {{ :math104-s22:s:cameronshotwell:math_104_homework_2_1_.pdf | here}}.

My Homework 3 can be found {{ :math104-s22:s:cameronshotwell:math_104_homework_3.pdf | here}}.
==== Journal ====

**Jan 18th**
We learned about the structure of the course and talked about $\N, \Z$, and $\Q$.

My exercises for lecture 1 can be found {{: math104-s22:s:cameronshotwell:math_104_lecture_1_exercises.pdf |here}}. Note: Here I did Ross 1.11 in place of Ross 1.12 by accident. Ross 1.12 can be found in Homework 1, alternatively.

**Jan 20th**
Today we finished up with rational numbers by talking about the Rational Zeroes Theorem. We then discussed real numbers, the Archimedean Principle, and $\R$'s completeness. We then begun discussing sequences and convergence.

My exercises for lecture 2 can be found {{ :math104-s22:s:cameronshotwell:math_104_lecture_2_exercises_cameron_shotwell.pdf |here}}.

**Jan 25th** 
We used the definition of a limit of a sequence to prove some properties about sequences and their limits.

My exercises for lecture 3 can be found {{ :math104-s22:s:cameronshotwell:math_104_lecture_3_exercises.pdf | here}}. I added Exercise 8.9 from Ross to the exercises from lecture since the results from Exercise 8.9 are used to solve 9.12 (c).

**Jan 27th**
We discussed properties of monotone sequences and defined limsup and liminf in the context of sequences.

My exercises for lecture 4 can be found {{ :math104-s22:s:cameronshotwell:math_104_lecture_4_exercises.pdf | here}}.

**Feb 1st**
We discussed the properties of Cauchy sequences and introduced the notion of subsequences and subsequential limits and some of their properties.
Lecture Notes

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